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Five cookies and eight muffins cost $9.05. Six cookies and one muffin cost $3.55.

Find the cost of one cookie and one muffin.

Answer :

Final answer:

The problem is a typical example of a linear system of equations. Two equations can be set up based on the information given: 5C + 8M = $9.05 and 6C + M = $3.55, where C is the cost of a cookie and M is the cost of a muffin.

Explanation:

The problem described in the question can be solved by setting up a system of linear equations. Let's denote C as the cost of a cookie and M as the cost of a muffin. From the information given, we can formulate the following two equations:

  1. 5C + 8M = $9.05
  2. 6C + M = $3.55

After setting up these equations, one could use various methods to solve for C and M. Commonly used methods include substitution, graphing or elimination. The solution will provide the cost of each cookie and muffin.

Learn more about System of equations here:

https://brainly.com/question/21620502

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